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Finding the Third Proportional to 381,550 and 753,497

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Solution

The third proportional to 381,550 and 753,497 is: 1,488,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,550 : 753,497 = 753,497 : x
  2. Step 2: Convert to fraction form
    381,550/753,497 = 753,497/x
  3. Step 3: Cross multiply
    381,550x = 753,497 × 753,497
  4. Step 4: Simplify right side
    381,550x = 567,757,729,009
  5. Step 5: Solve for x
    x = 567,757,729,009/381,550
  6. Step 6: Final answer
    x = 1,488,029.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.